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Simplifying 5y + -3y + 10 = 6y + 24 Reorder the terms: 10 + 5y + -3y = 6y + 24 Combine like terms: 5y + -3y = 2y 10 + 2y = 6y + 24 Reorder the terms: 10 + 2y = 24 + 6y Solving 10 + 2y = 24 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 10 + 2y + -6y = 24 + 6y + -6y Combine like terms: 2y + -6y = -4y 10 + -4y = 24 + 6y + -6y Combine like terms: 6y + -6y = 0 10 + -4y = 24 + 0 10 + -4y = 24 Add '-10' to each side of the equation. 10 + -10 + -4y = 24 + -10 Combine like terms: 10 + -10 = 0 0 + -4y = 24 + -10 -4y = 24 + -10 Combine like terms: 24 + -10 = 14 -4y = 14 Divide each side by '-4'. y = -3.5 Simplifying y = -3.5
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